In: Mechanical Engineering
A high carbon steel shaft is used in an engine and subjected to
different loads. In order to analyse the stress in the shaft,
consider a rectangular element within the material. This element is
subjected to compressive stress of 135 MPa and shear stress of
166MPa in the vertical direction. The compressive stress in the
horizontal direction is 166MPa with a shear stress of 115MPa.
a. Sketch the state of stress on this element.
b. Determine the maximum and minimum normal and shear stresses and
their plane of orientation.
c. If the yield strength of the material is 350MPa, Poison’s ratio
is 0.32, and factor of safety is 5, determine the diameter of the
shaft to avoid failure.